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Simplifying g(x) * x4 + -2x3 + -3x2 + 2x + 2 = 0 Multiply g * x gx * x4 + -2x3 + -3x2 + 2x + 2 = 0 Multiply gx * x4 gx5 + -2x3 + -3x2 + 2x + 2 = 0 Reorder the terms: 2 + gx5 + 2x + -3x2 + -2x3 = 0 Solving 2 + gx5 + 2x + -3x2 + -2x3 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + gx5 + 2x + -3x2 + -2 + -2x3 = 0 + -2 Reorder the terms: 2 + -2 + gx5 + 2x + -3x2 + -2x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + gx5 + 2x + -3x2 + -2x3 = 0 + -2 gx5 + 2x + -3x2 + -2x3 = 0 + -2 Combine like terms: 0 + -2 = -2 gx5 + 2x + -3x2 + -2x3 = -2 Add '-2x' to each side of the equation. gx5 + 2x + -3x2 + -2x + -2x3 = -2 + -2x Reorder the terms: gx5 + 2x + -2x + -3x2 + -2x3 = -2 + -2x Combine like terms: 2x + -2x = 0 gx5 + 0 + -3x2 + -2x3 = -2 + -2x gx5 + -3x2 + -2x3 = -2 + -2x Add '3x2' to each side of the equation. gx5 + -3x2 + 3x2 + -2x3 = -2 + -2x + 3x2 Combine like terms: -3x2 + 3x2 = 0 gx5 + 0 + -2x3 = -2 + -2x + 3x2 gx5 + -2x3 = -2 + -2x + 3x2 Add '2x3' to each side of the equation. gx5 + -2x3 + 2x3 = -2 + -2x + 3x2 + 2x3 Combine like terms: -2x3 + 2x3 = 0 gx5 + 0 = -2 + -2x + 3x2 + 2x3 gx5 = -2 + -2x + 3x2 + 2x3 Divide each side by 'x5'. g = -2x-5 + -2x-4 + 3x-3 + 2x-2 Simplifying g = -2x-5 + -2x-4 + 3x-3 + 2x-2
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